5x-4(x+9)=10x+24

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Solution for 5x-4(x+9)=10x+24 equation:


Simplifying
5x + -4(x + 9) = 10x + 24

Reorder the terms:
5x + -4(9 + x) = 10x + 24
5x + (9 * -4 + x * -4) = 10x + 24
5x + (-36 + -4x) = 10x + 24

Reorder the terms:
-36 + 5x + -4x = 10x + 24

Combine like terms: 5x + -4x = 1x
-36 + 1x = 10x + 24

Reorder the terms:
-36 + 1x = 24 + 10x

Solving
-36 + 1x = 24 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
-36 + 1x + -10x = 24 + 10x + -10x

Combine like terms: 1x + -10x = -9x
-36 + -9x = 24 + 10x + -10x

Combine like terms: 10x + -10x = 0
-36 + -9x = 24 + 0
-36 + -9x = 24

Add '36' to each side of the equation.
-36 + 36 + -9x = 24 + 36

Combine like terms: -36 + 36 = 0
0 + -9x = 24 + 36
-9x = 24 + 36

Combine like terms: 24 + 36 = 60
-9x = 60

Divide each side by '-9'.
x = -6.666666667

Simplifying
x = -6.666666667

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